. Stresses in railway structures on curves . 19 (a). (2) Maximum Moments. 55 The influence ordinates below the panel points B (F) , G (E), and D are respectively , 15 and The calculations for the influence ordinates for the outer and inner girders are as follows: Panel points B and F. Z = e = Outer Girder: Ord. ( - 2 x .0713 + 2 x ) = Inner Girder: Ord. ( + 2 ) = Panel points C and E Z = 15 e = .2820 Outer Girder• Ord (17 5 + 2 x 2820 + 2 x ) = inner uiruer: I J. /. 0 - c X ,60cUJ -
. Stresses in railway structures on curves . 19 (a). (2) Maximum Moments. 55 The influence ordinates below the panel points B (F) , G (E), and D are respectively , 15 and The calculations for the influence ordinates for the outer and inner girders are as follows: Panel points B and F. Z = e = Outer Girder: Ord. ( - 2 x .0713 + 2 x ) = Inner Girder: Ord. ( + 2 ) = Panel points C and E Z = 15 e = .2820 Outer Girder• Ord (17 5 + 2 x 2820 + 2 x ) = inner uiruer: I J. /. 0 - c X ,60cUJ - Panel point D 2 = e = .3998 Outer Girder: Ord. ( + 2 x .3998 +2 x ) = Inner Girder: Ord. _ ( - 2 x .3998) = The influence ordinates thus found are shown in Fig. 19 (b) and (c). The area of the influence lines for the outer girder (Fig. 19 (d)) is A = 15 (2 x 8. 5312 + ! 2 x + ) = 15 x = 56 A & C *> £ F £I I I I I I I 6 /J-a ^fo-Q. Fig. 19. and that for the inner girder (Fig. 19 (O) is A2 = 15 (2 x + 2 x + ) = 15 x = Coopers £-50 loading, the maximum tending moment inthe girder for straight track is 3,337,000 The area ofinfluence line (Fig. 19 (a)) is x ^2 = The equivalent US uniform load is therefore equal to 3,337,000/ = 3295 foot of girder. 57 For curved track, the bending moment in the outer girder isMx = x 3295 = 3,914,600 bending moment in the inner girder isM2 = x 3295 = 3,243,600 Since the bottom flanges of the two girders constitute thechord members for the lateral system, they are subjected to the di-rect stresses produced by the centrifugal force. The maximum bendingmoment at the middle point of either girder due to the centrifugalforce { = q x vertical load) is equal to q times the total verticalbending moment in the two girders for straight track, or Mh
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